If you want to calculate digits in succession starting with the first, then there are a few "spigot algorithms" that will churn out a small number of digits of π (usually capped by limitations in the calculator). If you want to extract the nth digit without the fuss of crawling through previous ones, then look up "BBP-type algorithms"; note, however, that π has been proven to produce correct digits by way of this class of formulas only under bases that are powers of two, which ten is not. We're so familiar with the 3.14 that we want to see it everywhere, but ten is not exactly the choicest base in nature – we just happen to have ten fingers.